AXIAL-SHEAR VIBRATIONS OF STAR SHAPED BARS, KOHN-KATO BOUNDS.

Abstract

Kohn-Kato bounds are determined for the natural frequencies of axial-shear vibrations for a solid circular bar. Through conformal transformation and corresponding modification of the differential equations, this method is extended to the calculation of the natural frequencies of axial shear vibrations for a solid bar having a many-lobed plane, curved boundary. A numerical example is given for an epitrochoidal bar vibrating in the fundamental axial-shear mode. Approximate solutions are developed for the natural frequencies of free vibrations of solid propellant rocket motors with star-shaped perforations.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1962
Accession Number
AD0607927

Entities

People

  • J. H. Baltrukonis
  • Michael Chi
  • Patricio Laura

Organizations

  • The Catholic University of America

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Contracts
  • Differential Equations
  • Equations
  • Frequency
  • Frequency Shift
  • Mechanical Waves
  • Motion
  • Perforation
  • Propellants
  • Resonant Frequency
  • Rocket Engines
  • Rockets
  • Solid Propellants
  • Vibration

Fields of Study

  • Physics

Readers

  • Rocket Propulsion.
  • Structural Dynamics.